Are the figures congruent? Explain.

Answer:

x=140

Step-by-step explanation:

A quadralterial interior angles sum up to 360. We are given three angles and need to find the missing angle.

Let x, represent the missing angle.

[tex]60 + 55 + 105 + x = 360[/tex]

[tex]220 + x = 360[/tex]

[tex]x = 140[/tex]

Answer:

10 inches

Step-by-step explanation:

the box is 1000 cubic inches in volume, and 10×10×10 is 1000

The side lengths are each 10 inches tall

The box is 10 inches tall, wide, and long

Answer:

698 fishes

Step-by-step explanation:

Generally, we can represent an exponential growth function as;

y = a•(1 + r)^t

originally, there were 3 fishes

The original value in this case means a = 3

After 6 weeks, there were 31

31 in this case is y

r is the increase percentage or rate

t is the time

So, we have it that;

31 = 3•(1 + r)^6

31/3 = (1 + r)^6

10.33 = (1 + r)^6

ln 10.33 = 6 ln (1 + r)

ln 10.33/6 = ln (1 + r)

e^0.3892 = (1 + r)

1 + r = 1.476

r = 1.476-1

r = 0.476 or 47.6%

So the growth percentage or rate is 47.6%

For 14 weeks, we simply have the value of t as 14;

So ;

y = 3•(1 + 0.476)^14

y = 3(1.476)^14

y = 698 fishes

Answer:

X = 4

Step-by-step explanation:

17 -X = 1 +3X

NOTE: PUT X IN ONE SIDE AND THE NUMBER IN OTHER

so 17 -X = 1 +3X so it will be 3x + x = 4x

then 17 - 1 = 16

4 divide by 16 = 4

so X = 4

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Have a great day, be safe and healthy

Thank u  

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Answer

Calculator.net

i hope you use this it will help a lot

Answer:

1.12

Step-by-step explanation:

1.6 1.12

Answer:

wjdh

Step-by-step explanation:

wqd

Answer:

9/10

Step-by-step explanation:

To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

1) Add x to both sides.

[tex]17 = 1 + 3x + x[/tex]

2) Simplify 1 + 3x + x to 1 + 4x.

[tex]17 = 1 + 4x[/tex]

3) Subtract 1 from both sides.

[tex]17 - 1 = 4x[/tex]

4) Simplify 17 - 1 to 16.

[tex]16 = 4x[/tex]

5) Divide both sides by 4.

[tex] \frac{16}{4} = x[/tex]

6) Simplify 16/4 to 4.

[tex]4 = x[/tex]

7) Switch sides.

[tex]x = 4[/tex]

Therefor, the answer is x = 4.

Answer:

67.75%

Step-by-step explanation:

Given:

Given that:

µ = 76 ; σ = 4.7

P(x < 80.7) - P(x < 71.4)

Obtain the standardized score, Z ; x = 71. 4

Zscore = (x - μ) / σ

P(x < 71.4) = (71.4 - 76) / 4.7

P(x < 71.4) = - 4.6 / 4.7

P(x < 71.4) = - 0.9787

P(z < 0.9787) = 0.16386

x = 80.7

P(x < 80.7) = (80.7 - 76) / 4.7

P(x < 80.7) = 4.7 / 4.7

P(x < 80.7) = 1

P(z < 1) = 0.84134

0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%

Answer:

44

Step-by-step explanation:

I just used mental math soooo.......

have a great day luvs <3

Answer:

44

Step-by-step explanation:

3+4+8+9+2+5+6+7=

7+8+9+2+5+6+7=

15+9+2+5+6+7=

24+2+5+6+7=

26+5+6+7=

31+6+7=

37+7= 44

44 = 44

Answer:

5 containers

Step-by-step explanation:

Converting to a decimal can make questions like this easier to solve.

3 3/4 = 3.75

3/4= .75

3.75 cups divided by .75 cup containers results in 5 containers needed.

Answer: 20 hr

Step-by-step explanation:

Given

The depth of accumulated snow is [tex]d=10\ in.[/tex]

Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]

Time taken for complete melting of snow is

[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]

Given:

A figure of a kite.

To find:

The area of the given kite.

Solution:

The area of a kite is the half of the product of its diagonals.

[tex]A=\dfrac{d_1d_2}{2}[/tex]             ...(i)

Where, [tex]d_1,d_2[/tex] are two diagonals of the kite.

From the given figure it is clear that the length of one diagonal is the sum of 12 and 8.

[tex]d_1=12+8[/tex]

[tex]d_1=20[/tex]

Let the second diagonal be 2x. The first diagonals bisect the second diagonal. So, the length of one parts of the diagonal is x.

Diagonals of a kite are perpendicular to each other. Using Pythagoras theorem, we get

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]13^2=x^2+12^2[/tex]

[tex]169-144=x^2[/tex]

[tex]25=x^2[/tex]

[tex]5=x[/tex]

The length of second diagonal is:

[tex]d_2=2x[/tex]

[tex]d_2=2(5)[/tex]

[tex]d_2=10[/tex]

Substituting [tex]d_1=20,d_2=10[/tex] in (i), we get

[tex]A=\dfrac{20\times 10}{2}[/tex]

[tex]A=\dfrac{200}{2}[/tex]

[tex]A=100[/tex]

Therefore, the area of the kite is 100 square units.

Answer:

28%

Step-by-step explanation:

you can divide 276 by 100 to get how much each individual percentage is worth so when you multiply that number by 28 you get 77.28

Answer:

x=5

Step-by-step explanation:

3 = 12/4

x = 20/4

x = 5

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

Answer:

[tex]\huge\boxed{\sf GCF = x}[/tex]

Step-by-step explanation:

Firstly we'll factorize the terms:

45x³ = 3 * 3 * 5 * x * x * x

24x² = 2 * 2 * 2 * 3 * x * x

16x = 2 * 2 * 2 * 2 * x

The factor which is common in all three terms is:

= x

Hence GCF = x

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

there is nothing like that

Step-by-step explanation:

there is no squre root of2

Answer:

dependant

Step-by-step explanation:

Answer:

x(x+2)(x+3)

Step-by-step explanation:

Answer:

x+2

Step-by-step explanation:

Answer:

the answer is 7p

Step-by-step explanation:

p(5)+p(2)=7p

Answer:

x = 20°

Step-by-step explanation:

You know the horizontal line is 180°. If the left side of the horizontal line is 90° (right angle), then the right side of the horizontal line should be 90° too. (180° - 90° = 90°)

Thus, 90° = 43° + 2x + 7°

2x = 90° - 43° - 7°

    = 40°

x = 40° ÷ 2

x = 20°

Answer:

X = 2

Step-by-step explanation:

As the lines are perpendicular...

90 = 43 + 2x + 7

Solve for x by making x the subject.

90 - 43 - 7 = 2x

40 = 2x

40/2 = x

20 = x

therefore, x = 2

Answer:

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

Step-by-step explanation:

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

Answer:

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Step-by-step explanation:

Example: 6,8,20

6-1,2,3,6

8-1,2,4,8

20-1,2,4,5,20

GCF is 2